Pith Number

pith:3B4P6ZDA

pith:2025:3B4P6ZDAD6BWSP3ZWHB4725DIA

not attested not anchored not stored refs pending

Beyond Disorder: Unveiling Cooperativeness in Multidirectional Associative Memories

Adriano Barra, Andrea Alessandrelli, Andrea Ladiana, Andrea Lepre, Federico Ricci-Tersenghi

arxiv:2503.04454 v1 · 2025-03-06 · cond-mat.dis-nn · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3B4P6ZDAD6BWSP3ZWHB4725DIA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Do Hopfield Networks Dream of Stored Patterns? A Statistical-Mechanical Theory of Dreaming in Multidirectional Associative Memories

Receipt and verification

First computed	2026-07-05T10:25:39.143381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d878ff64601f83693f79b1c3cfeba34038d80fa4dd39313e9ec60589c75c732c

Aliases

arxiv: 2503.04454 · arxiv_version: 2503.04454v1 · doi: 10.48550/arxiv.2503.04454 · pith_short_12: 3B4P6ZDAD6BW · pith_short_16: 3B4P6ZDAD6BWSP3Z · pith_short_8: 3B4P6ZDA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3B4P6ZDAD6BWSP3ZWHB4725DIA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d878ff64601f83693f79b1c3cfeba34038d80fa4dd39313e9ec60589c75c732c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41c848b67495d5ee57b032cd7eccd036c323a8979e9b4e2b273e7147791e600d",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2025-03-06T14:09:30Z",
    "title_canon_sha256": "0f49bb07b2350737441846fbdca85ed0b508c6961ce986c1256c7d4d1774967e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.04454",
    "kind": "arxiv",
    "version": 1
  }
}